• 제목/요약/키워드: bifurcation analysis

검색결과 264건 처리시간 0.023초

Shielding effects and buckling of steel tanks in tandem arrays under wind pressures

  • Portela, Genock;Godoy, Luis A.
    • Wind and Structures
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    • 제8권5호
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    • pp.325-342
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    • 2005
  • This paper deals with the buckling behavior of thin-walled aboveground tanks under wind load. In order to do that, the wind pressures are obtained by means of wind-tunnel experiments, while the structural non linear response is computed by means of a finite element discretization of the tank. Wind-tunnel models were constructed and tested to evaluate group effects in tandem configurations, i.e. one or two tanks shielding an instrumented tank. Pressures on the roof and on the cylindrical part were measured by pressure taps. The geometry of the target tank is similar in relative dimensions to typical tanks found in oil storage facilities, and several group configurations were tested with blocking tanks of different sizes and different separation between the target tank and those blocking it. The experimental results show changes in the pressure distributions around the circumference of the tank for half diameter spacing, with respect to an isolated tank with similar dimensions. Moreover, when the front tank of the tandem array has a height smaller than the target tank, increments in the windward pressures were measured. From the computational analysis, it seems that the additional stiffness provided by the roof prevents reductions in the buckling load for cases even when increments in pressures develop in the top region of the cylinder.

Bonhoeffer - van der Pol 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어 (The study of Controlling chaos for Bonhoeffer-van der Pol oscillation model by small parameter perturbation)

  • 배영철;고재호;임화영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 B
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    • pp.817-819
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    • 1995
  • Applied by periodic Stimulating Currents in Bonhoeffer-Van der Pol(BVP) model, chaotic and periodic phenomena occured at specific conditions. The conditions of the chaotic motion in BVP comprised 0.7182< $A_{1}$ <0.792 and 1.09< $A_{1}$ <1.302 proved by the analysis of phase plane, bifurcation diagram, and lyapunov exponent. To control the chaotic motion, two methods were suggested by the first used the amplitude parameter $A_{1}$,$A_{1}={\varepsilon}((x-x_{s})-(y-y_{s}))$ and the second used the temperature parameter c, c=c$(1+ {\eta}cos{\Omega}t)$ which the values of $\eta$, ${\Omega}$ varied respectlvly, and $x_{s}$, $y_{s}$ are the periodic signal. As a result of simulating these methods, the chaotic phenomena was controlled with the periodic motion of periodisity. The feasibilities of the chaotic and the periodic phenomena were analysed by phase plane and lyapunov exponent.

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절점 강성을 고려한 공간 구조물의 비선형 불안정 거동에 관한 연구 (A Study of Nonlinear Unstable Phenomenon of Framed Space Structures Considering Joint Rigidity)

  • 손수덕;김승덕;황경주;강문명
    • 한국공간구조학회논문집
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    • 제3권1호
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    • pp.87-97
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    • 2003
  • The structural system that discreterized from continuous shells is frequently used to make a large space structures. As well these structures show the unstable phenomena when a load level over the limit load, and snap-through and bifurcation are most well known of it. For the collapse mechanism, rise-span ratio, element stiffness and load mode are main factor, which it give an effect to unstable behavior. In our real situation, most structures have semi-rigid joint that has middle characteristic between pin and rigid joint. So the knowledge of semi-rigid joint is very important problem of stable large space structure. And the instability phenemena of framed space structures show a strong non-linearity and very sensitive behavior according to the joint rigidity For this reason In this study, we are investigating to unstable problem of framed structure with semi-rigidity and to grasp the nonlinear instability behavior that make the fundamental collapse mechanism of the large space frame structures with semi-rigid joint, by proposed the numerical analysis method. Using the incremental stiffness matrix in chapter 2, we study instability of space structures.

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Energy approach for dynamic buckling of shallow fixed arches under step loading with infinite duration

  • Pi, Yong-Lin;Bradford, Mark Andrew;Qu, Weilian
    • Structural Engineering and Mechanics
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    • 제35권5호
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    • pp.555-570
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    • 2010
  • Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

Prevention of suspension bridge flutter using multiple tuned mass dampers

  • Ubertini, Filippo
    • Wind and Structures
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    • 제13권3호
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    • pp.235-256
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    • 2010
  • The aeroelastic stability of bridge decks equipped with multiple tuned mass dampers is studied. The problem is attacked in the time domain, by representing self-excited loads with the aid of aerodynamic indicial functions approximated by truncated series of exponential filters. This approach allows to reduce the aeroelastic stability analysis in the form of a direct eigenvalue problem, by introducing an additional state variable for each exponential term adopted in the approximation of indicial functions. A general probabilistic framework for the optimal robust design of multiple tuned mass dampers is proposed, in which all possible sources of uncertainties can be accounted for. For the purposes of this study, the method is also simplified in a form which requires a lower computational effort and it is then applied to a general case study in order to analyze the control effectiveness of regular and irregular multiple tuned mass dampers. A special care is devoted to mistuning effects caused by random variations of the target frequency. Regular multiple tuned mass dampers are seen to improve both control effectiveness and robustness with respect to single tuned mass dampers. However, those devices exhibit an asymmetric behavior with respect to frequency mistuning, which may weaken their feasibility for technical applications. In order to overcome this drawback, an irregular multiple tuned mass damper is conceived which is based on unequal mass distribution. The optimal design of this device is finally pursued via a full domain search, which evidences a remarkable robustness against frequency mistuning, in the sense of the simplified design approach.

Stability and nonlinear vibration of a fuel rod in axial flow with geometric nonlinearity and thermal expansion

  • Yu Zhang;Pengzhou Li;Hongwei Qiao
    • Nuclear Engineering and Technology
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    • 제55권11호
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    • pp.4295-4306
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    • 2023
  • The vibration of fuel rods in axial flow is a universally recognized issue within both engineering and academic communities due to its significant importance in ensuring structural safety. This paper aims to thoroughly investigate the stability and nonlinear vibration of a fuel rod subjected to axial flow in a newly designed high temperature gas cooled reactor. Considering the possible presence of thermal expansion and large deformation in practical scenarios, the thermal effect and geometric nonlinearity are modeled using the von Karman equation. By applying Hamilton's principle, we derive the comprehensive governing equation for this fluid-structure interaction system, which incorporates the quadratic nonlinear stiffness. To establish a connection between the fluid and structure aspects, we utilize the Galerkin method to solve the perturbation potential function, while employing mode expansion techniques associated with the structural analysis. Following convergence and validation analyses, we examine the stability of the structure under various conditions in detail, and also investigate the bifurcation behavior concerning the buckling amplitude and flow velocity. The findings from this research enhance the understanding of the underlying physics governing fuel rod behavior in axial flow under severe yet practical conditions, while providing valuable guidance for reactor design.

폐단면리브 강성에 따른 일축압축을 받는 보강판의 국부좌굴강도 평가 (Evaluation of Local Buckling Strength of Stiffened Plates under Uni-axial Compression due to Closed-section Rib Stiffness)

  • 최병호
    • 한국산학기술학회논문지
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    • 제14권2호
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    • pp.949-954
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    • 2013
  • 일반적으로 압축을 받는 판 구조는 종방향 보강재를 이용하여 보강된다. 이 때 보강재로서 U형 단면 리브를 사용하는 것이 보다 효과적이나, 현재 국내에서 이에 대한 명확한 설계지침이나 연구자료가 제시되지 못하고 있다. 이에, 본 연구에서는 U리브의 단면 크기 및 강성 등에 따른 보강판의 탄성좌굴강도를 살펴보고자 한다. 유한요소해석 프로그램인 ABAQUS를 이용하여 세 가지 타입의 U형 단면 리브를 적용한 해석모델을 수립하여 고유치 해석을 실시하였고, 양연지지된 판의 국부좌굴강도 이론식과 본 해석적 결과를 비교하였다. 이러한 분석 결과를 토대로 U형 단면리브에 의해 좌굴강도가 증진하는 보강 효과를 확인하였으며, 설계 파라미터에 따른 변수해석적 연구를 통해 그 영향을 분석하였다. 본 연구결과는 U리브 보강판의 적정 설계 방안을 제시하는데 기여할 수 있을 것으로 기대된다.

Post buckling mechanics and strength of cold-formed steel columns exhibiting Local-Distortional interaction mode failure

  • Muthuraj, Hareesh;Sekar, S.K.;Mahendran, Mahen;Deepak, O.P.
    • Structural Engineering and Mechanics
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    • 제64권5호
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    • pp.621-640
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    • 2017
  • This paper reports the numerical investigation conducted to study the influence of Local-Distortional (L-D) interaction mode buckling on post buckling strength erosion in fixed ended lipped channel cold formed steel columns. This investigation comprises of 81 column sections with various geometries and yield stresses that are carefully chosen to cover wide range of strength related parametric ratios like (i) distortional to local critical buckling stress ratio ($0.91{\leq}F_{CRD}/F_{CRL}{\leq}4.05$) (ii) non dimensional local slenderness ratio ($0.88{\leq}{\lambda}_L{\leq}3.54$) (iii) non-dimensional distortional slenderness ratio ($0.68{\leq}{\lambda}_D{\leq}3.23$) and (iv) yield to non-critical buckling stress ratio (0.45 to 10.4). The numerical investigation is carried out by conducting linear and non-linear shell finite element analysis (SFEA) using ABAQUS software. The non-linear SFEA includes both geometry and material non-linearity. The numerical results obtained are deeply analysed to understand the post buckling mechanics, failure modes and ultimate strength that are influenced by L-D interaction with respect to strength related parametric ratios. The ultimate strength data obtained from numerical analysis are compared with (i) the experimental tests data concerning L-D interaction mode buckling reported by other researchers (ii) column strength predicted by Direct Strength Method (DSM) column strength curves for local and distortional buckling specified in AISI S-100 (iii) strength predicted by available DSM based approaches that includes L-D interaction mode failure. The role of flange width to web depth ratio on post buckling strength erosion is reported. Then the paper concludes with merits and limitations of codified DSM and available DSM based approaches on accurate failure strength prediction.

카오스 신경망을 위한 CMOS 혼돈 뉴런의 집적회로 구현 및 특성 해석 (Integrated Circuit Implementation and Characteristic Analysis of a CMOS Chaotic Neuron for Chaotic Neural Networks)

  • 송한정;곽계달
    • 전자공학회논문지CI
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    • 제37권5호
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    • pp.45-53
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    • 2000
  • 0.8㎛ 단일 폴리 CMOS 집적회로로 구현된 혼돈 뉴런의 동적 응답 특성을 분석하였다. 구현된 CMOS 혼돈 뉴런의 시그모이드 출력함수와 혼돈 발생회로 블록에 대한 일련의 수식 모델을 구하여 혼돈 뉴런의 동적 응답특성, 즉 뉴런 내부상태의 분기도 및 초기값 의존성을 보여주는 리아프노프 지수와 평균 발화율, 시간 및 주파수 응답 등 다양한 특성들을 수치해석적으로 분석하였다. 뿐만 아니라 4개의 시냅스를 지닌 2개의 혼돈 뉴런으로 이루어진 카오스 신경 회로망을 구성하여 시냅스 가중치에 따른 분기도 변화를 구하고 뉴럴 네트워크에서의 응용 가능성을 확인하였다. 한편 CMOS 집적회로로 구현된 혼돈 뉴런을 ±2.5V 전원, 10㎑의 클럭으로 구동시켜 단일 혼돈 뉴런 및 2개의 뉴런으로 이루어진 카오스 신경망에 대한 여러 동적 응답 특성을 측정하여 수치해석 결과와 비교, 분석하였다.

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엘러스-단로스 제4형 증후군 환자에서 발생한 대동맥 파열 ([Secondary publication] Sudden Aortic Rupture in Ehlers-Danlos Syndrome Type IV)

  • 백태화;김민정;기창석;박성환;이헌;김경열;최병하
    • The Korean Journal of Legal Medicine
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    • 제40권2호
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    • pp.61-64
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    • 2016
  • Ehlers-Danlos syndrome type IV (EDS IV) is a hereditary disorder of the connective tissue, characterized by easy bruising, thin skin with visible veins, and spontaneous rupture of the large arteries, uterus, or bowel. EDS IV is caused by mutations of the gene for type III procollagen (COL3A1), resulting in insufficient collagen production or a defect in the structure of collagen. EDS IV can have fatal complications such as the rupture of great vessels or organs, which can cause hemorrhaging and sudden unexpected death. Here, we report a case of a 43-year-old female who collapsed after a struggle with a neighbor. In this patient, the bifurcation of the bilateral common iliac artery ruptured, with no evidence of trauma, inflammation, or atherosclerosis. Genetic analysis of COL3A1 showed the presence of a c.2771G>A (p.Gly924Arg) mutation, which may be associated with EDS IV. The forensic pathologist should consider the possibility that the spontaneous visceral or arterial rupture was caused by EDS IV. Genetic analysis is not currently a routine procedure during autopsy. However, in this case, we suggest that the patient possibly had an underlying EDS IV condition, and we recommended family members of the deceased to seek genetic analysis and counseling.